Any polygon, if it is not regular, can have 1 right angle.
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A right angle triangle
An exterior angle of the polygon.
Any polygon with 5 sides or more or a trapezoid that doesn't have a right angle in it or a kite that is not a square.
All polygons can have right angles except for circle and ovulated shapes. The only 'regular polygon' that has a right angle is the quadrilateral.
Five side is always a pentagon, but there's no pentagon that always has exactly one right angle. A regular pentagon has no right angles. An irregular pentagon can have one, two, or three right angles, or none.